NDLI: Basic Entropy Sets

Content Provider	IEEE Xplore Digital Library
Author	Grivell, I. Grant, A. Chan, T.
Copyright Year	2008
Description	Author affiliation: Mil. Commun. Branch, Edinburgh (Grivell, I.)
Abstract	The entropy space for n random variables has dimension $2^{n}$ -1, one dimension for each joint entropy. When the random variables are known to satisfy given functional dependence relationships, the dimension may be smaller. In this paper, we identify a basis for the restriction of the entropy space to distributions satisfying functional dependence relations specified by an acyclic graph. We provide an efficient algorithm for determination of this basis. One application is a reduction in the computational effort required to compute the linear programming bound for multi-source network coding.
Starting Page	1
Ending Page	6
File Size	1596761
Page Count	6
File Format	PDF
ISBN	9781424416899
DOI	10.1109/NETCOD.2008.4476184
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-01-03
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Military communication Space technology Network coding Lakes Linear programming Entropy Computer networks Regions Random variables Australia
Content Type	Text
Resource Type	Article

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Basic Entropy Sets